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Theory of electronic transport in two-dimensional systems in the presence of magnetic fields

I. The Landauer formalism

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Czechoslovak Journal of Physics Aims and scope

Abstract

The series of three papers is focused on the Landauer-Büttiker approach to the study of transport in two-dimensional electron systems, with particular attention paid to the influence of an external magnetic field. In the present paper, various aspects of the Landauer formalism (relating conductances to transmission coefficients) are reviewed. The one-dimensional case is discussed in detail. Some views on its generalization to higher dimensionality are presented. The connection to the linear response theory is briefly discussed. A short account of the Büttiker formalism for systems with more than two probes is given. Further the Landauer formalism is generalized for two-dimensional systems in quantizing magnetic fields. Particular attention is paid to the role of ideal leads where edge states occur.

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Authors and Affiliations

  1. Institute of Physics, Czechosl. Acad. Sci., Cukrovarnická 10, 162 00, Praha 6, Czechoslovakia

    Jan Kučera

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  1. Jan Kučera
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The author wishes to thank Professors P. StŘeda and L. Smrčka for their encouragement and discussion.

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Kučera, J. Theory of electronic transport in two-dimensional systems in the presence of magnetic fields. Czech J Phys 41, 620–662 (1991). https://doi.org/10.1007/BF01599029

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